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- Spatial_dependence abstract "Spatial dependence is the spatial relationship of variable values (for themes defined over space, such as rainfall) or locations (for themes defined as objects, such as cities). Spatial dependence is measured as the existence of statistical dependence in a collection of random variables or a collection of random variables, each of which is associated with a different geographical location. Spatial dependence is of importance in applications where it is reasonable to postulate the existence of corresponding set of random variables at locations that have not been included in a sample. Thus rainfall may be measured at a set of rain gauge locations, and such measurements can be considered as outcomes of random variables, but rainfall clearly occurs at other locations and would again be random. Because rainfall exhibits properties of autocorrelation, spatial interpolation techniques can be used to estimate rainfall amounts at locations near measured locations.As with other types of statistical dependence, the presence of spatial dependence generally leads to estimates of an average value from a sample being less accurate than had the samples been independent, although if negative dependence exists a sample average can be better than in the independent case. A different problem than that of estimating an overall average is that of spatial interpolation: here the problem is to estimate the unobserved random outcomes of variables at locations intermediate to places where measurements are made, on that there is spatial dependence between the observed and unobserved random variables.Tools for exploring spatial dependence include: spatial correlation, spatial covariance functions and semivariograms.Methods for spatial interpolation include Kriging, which is a type of best linear unbiased prediction.The topic of spatial dependence is of importance to geostatistics and spatial analysis.".
- Spatial_dependence wikiPageID "4527498".
- Spatial_dependence wikiPageLength "2477".
- Spatial_dependence wikiPageOutDegree "22".
- Spatial_dependence wikiPageRevisionID "641679934".
- Spatial_dependence wikiPageWikiLink Academic_Press.
- Spatial_dependence wikiPageWikiLink Autocorrelation.
- Spatial_dependence wikiPageWikiLink Best_linear_unbiased_prediction.
- Spatial_dependence wikiPageWikiLink Category:Spatial_data_analysis.
- Spatial_dependence wikiPageWikiLink Category:Statistical_dependence.
- Spatial_dependence wikiPageWikiLink Category:Statistical_theory.
- Spatial_dependence wikiPageWikiLink Covariance_function.
- Spatial_dependence wikiPageWikiLink Geographical_location.
- Spatial_dependence wikiPageWikiLink Geostatistics.
- Spatial_dependence wikiPageWikiLink Independence_(probability_theory).
- Spatial_dependence wikiPageWikiLink Kriging.
- Spatial_dependence wikiPageWikiLink Location_(geography).
- Spatial_dependence wikiPageWikiLink Multivariate_interpolation.
- Spatial_dependence wikiPageWikiLink Rain.
- Spatial_dependence wikiPageWikiLink Rainfall.
- Spatial_dependence wikiPageWikiLink Random_variable.
- Spatial_dependence wikiPageWikiLink Random_variables.
- Spatial_dependence wikiPageWikiLink Semivariogram.
- Spatial_dependence wikiPageWikiLink Spatial_analysis.
- Spatial_dependence wikiPageWikiLink Spatial_correlation.
- Spatial_dependence wikiPageWikiLink Spatial_covariance_function.
- Spatial_dependence wikiPageWikiLink Spatial_interpolation.
- Spatial_dependence wikiPageWikiLink Statistical_independence.
- Spatial_dependence wikiPageWikiLink Variogram.
- Spatial_dependence wikiPageWikiLinkText "Spatial dependence".
- Spatial_dependence wikiPageWikiLinkText "Spatial dependency".
- Spatial_dependence wikiPageWikiLinkText "spatial dependence".
- Spatial_dependence hasPhotoCollection Spatial_dependence.
- Spatial_dependence wikiPageUsesTemplate Template:Multiple_issues.
- Spatial_dependence subject Category:Spatial_data_analysis.
- Spatial_dependence subject Category:Statistical_dependence.
- Spatial_dependence subject Category:Statistical_theory.
- Spatial_dependence hypernym Relationship.
- Spatial_dependence type Article.
- Spatial_dependence type Person.
- Spatial_dependence type Type.
- Spatial_dependence type Article.
- Spatial_dependence type Theory.
- Spatial_dependence type Type.
- Spatial_dependence comment "Spatial dependence is the spatial relationship of variable values (for themes defined over space, such as rainfall) or locations (for themes defined as objects, such as cities). Spatial dependence is measured as the existence of statistical dependence in a collection of random variables or a collection of random variables, each of which is associated with a different geographical location.".
- Spatial_dependence label "Spatial dependence".
- Spatial_dependence sameAs m.0c77hw.
- Spatial_dependence sameAs Q7574058.
- Spatial_dependence sameAs Q7574058.
- Spatial_dependence wasDerivedFrom Spatial_dependence?oldid=641679934.
- Spatial_dependence isPrimaryTopicOf Spatial_dependence.